Current courses

Titel	Links	Typ
Sommersemester 2026
Höhere Mathematik II für die Fachrichtung Physik		Vorlesung (V)
Übungen zu 0180500 (Höhere Mathematik II für Physik)		Übung (Ü)
Wintersemester 2025/26
Höhere Mathematik I für die Fachrichtung Physik		Vorlesung (V)
Übungen zu 0130200 (Höhere Mathematik I für Physik)		Übung (Ü)
Sommersemester 2025
Analysis für das Lehramt		Vorlesung (V)
Übungen zu 0157100 (Analysis für Lehramt)		Übung (Ü)
Diskrete dynamische Systeme		Vorlesung (V)
Proseminar (Analysis)		Proseminar (PS)

Publication list

2025
- Locally Non-Measurable Functions with Many Continuity Points
  Herzog, G.; Mortini, R.; Pflug, P.
  2025. Real Analysis Exchange, 50 (1), 145 – 157. doi:10.14321/realanalexch.1721604244
2023
- A weak differential inequality
  Herzog, G.; Kunstmann, P.
  2023. Publicationes Mathematicae Debrecen, 102 (1-2), 255 – 259. doi:10.5486/PMD.2023.9455
2022
- Spectral symmetry of solutions of boundary value problems in Banach algebras
  Herzog, G.; Kunstmann, P. C.
  2022. Annales Polonici mathematici, 128, 39–48. doi:10.4064/ap210520-4-10
2020
- Asymptotic constants in averaged Hölder inequalities
  Herzog, G.; Kunstmann, P. C.
  2020. Real Anal. Exchange, 45 (2), 425–437
2019
- Boundary value problems with solutions in convex sets
  Herzog, G.; Kunstmann, P. C.
  2019. Opuscula Mathematica, 39 (1), 49–60. doi:10.7494/opmath.2019.39.1.49
- Integralungleichungen bei Verwendung allgemeinerer Integralbegriffe
  Antoni, M.; Herzog, G.; Volkmann, P.
  2019. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000098449
2018
- Quasimonotonicity and functional inequalities
  Volkmann, P.; Herzog, G.
  2018. Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae / Sectio Computatorica, 47, 293–296
- Solutions of ordinary differential equations in closed subsets of a Banach space
  Herzog, G.; Volkmann, P.
  2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000085437
2017
- Note on Vector Translation with Respect to Thompson’s Metric
  Herzog, G.; Kunstmann, P. C.
  2017. Numerical functional analysis and optimization, 38 (8), 1008–1013. doi:10.1080/01630563.2017.1318916
2016
- Asymptotic estimates in Thompson’s metric for semilinear parabolic equations
  Herzog, G.; Kunstmann, P. C.
  2016. Nonlinear analysis / Theory, methods and applications, 131, 112–120. doi:10.1016/j.na.2015.09.027
- Two Applications of a Generalization of an Asymptotic Fixed Point Theorem
  Herzog, G.; Kunstmann, P. C.
  2016. Order, 34 (2), 323–326. doi:10.1007/s11083-016-9402-3
- A fixed point theorem for monotone operators in ordered Banach spaces
  Herzog, G.; Volkmann, P.
  2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000053743
2013
- A Fixed Point Theorem for Decreasing Functions
  Herzog, G.; Kunstmann, P. C.
  2013. Numerical functional analysis and optimization, 34 (5), 530–538. doi:10.1080/01630563.2012.760591
2010
- An intermediate value theorem in ordered Banach spaces
  Herzog, G.
  2010. Annales Polonici mathematici, 98 (1), 63–69. doi:10.4064/ap98-1-4
- Boundary value problems for linear operators in ordered Banach spaces
  Herzog, G.; Schmoeger, C.
  2010. Studia Mathematica, 198 (3), 261–270. doi:10.4064/sm198-3-5
- Symmetry of solutions for quasimonotone second-order elliptic systems in ordered Banach spaces
  Herzog, G.; Reichel, W.
  2010. Karlsruher Institut für Technologie (KIT)
- A note on Kantorovich’s majorant method
  Herzog, G.
  2010. Karlsruher Institut für Technologie (KIT)
- Suprema of chains of symmetric operators
  Herzog, G.; Schmoeger, C.
  2010. Karlsruher Institut für Technologie (KIT)
2009
- An intermediate value theorem in ordered Banach spaces
  Herzog, G.
  2009. Universität Karlsruhe (TH)
- Boundary value problems for linear operators in ordered Banach spaces
  Herzog, G.; Schmoeger, C.
  2009. Universität Karlsruhe (TH)
- On coupled first and second order boundary value problems in ordered Banach spaces
  Herzog, G.; Lemmert, R.
  2009. Universität Karlsruhe (TH)
- A universal property of C_0-semigroups
  Herzog, G.; Schmoeger, C.
  2009. Commentationes Mathematicae Universitatis Carolinae, 50 (1), 83–88
2008
- Boundary value problems via an intermediate value theorem
  Herzog, G.; Lemmert, R.
  2008. Glasgow Mathematical Journal, 50 (3), 531–538
- A note on Gateaux differentials of hermitian elements in Banach algebras
  Herzog, G.; Schmoeger, C.
  2008. Demonstratio mathematica, 41, 909–913
- Application of the mean ergodic theorem to certain semigroups
  Schmoeger, C.; Herzog, G.
  2008. Publications de lInstitut Mathématique (Beograd). Nouvelle série, 83 (97), 49–55
- A universal universality of C0-semigroups
  Herzog, G.; Schmoeger, C.
  2008. Universität Karlsruhe (TH)
- A note on Gâteaux differentials of hermitian elements in Banach algebras
  Herzog, G.; Schmoeger, C.
  2008. Universität Karlsruhe (TH)
- On Hölder continuous universal primitives
  Herzog, G.; Lemmert, R.
  2008. Universität Karlsruhe (TH)
- Spectral radii of generalized inverses of simply polar matrices
  Herzog, G.; Schmoeger, C.
  2008. Universität Karlsruhe (TH). doi:10.5445/IR/1000007577
2007
- A one-sided version of a theorem of Kantorovich
  Herzog, G.; Lemmert, R.
  2007. Universität Karlsruhe (TH)
- An example on ordered Banach algebras
  Herzog, G.; Schmoeger, C.
  2007. Proceedings of the American Mathematical Society, 135 (12), 3949–3954
- The Brauer-Ostrowski theorem for matrices of operators
  Herzog, G.; Schmoeger, C.
  2007. Integral equations and operator theory, 57, 513–520
- Spectral radii of generalized inverses of simply polar matrices
  Herzog, G.; Schmoeger, C.
  2007. Universität Karlsruhe (TH)
- Boundary value problems via an intermediate value theorem
  Herzog, G.; Lemmert, R.
  2007. Universität Karlsruhe (TH)
- Extreme Points of Certain Subsets of Hermitian Elements in Banach Algebras
  Herzog, G.; Schmoeger, C.
  2007. Turkish journal of mathematics, 31, 163–170
- A note on convex dependence of solutions of IVPs relative to initial values
  Herzog, G.; Lemmert, R.
  2007. Universität Karlsruhe (TH)
2006
- An example on ordered Banach algebras
  Herzog, G.; Schmoeger, C.
  2006. Universität Karlsruhe (TH)
- On the functional equation defined by Lie’s product formula
  Herzog, G.; Schmoeger, C.
  2006. Studia Mathematica, 175 (3), 271–277
- Quasimonotone embedding of one-sided Lipschitz continuous functions
  Herzog, G.
  2006. Universität Karlsruhe (TH)
- Majorization of -semigroups in ordered Banach spaces
  Herzog, G.; Kunstmann, P. C.
  2006. Commentationes mathematicae Universitatis Carolinae, 47 (1), 47–54
- On pointwise one-sided estimates for continuous functions
  Herzog, G.; Lemmert, R.
  2006. Glasgow mathematical journal, 48, 83–91
- Universality of methods approximating the derivative
  Herzog, G.; Lemmert, R.
  2006. Bulletin of the Australian Mathematical Society, 73, 405–411
- A class of hyperbolic Volterra composition operators
  Herzog, G.; Weber, A.
  2006. Demonstratio Mathematica, 39 (2), 465–468
- Application of the mean ergodic theorem to certain semigroups
  Herzog, G.; Schmoeger, C.
  2006. Universität Karlsruhe (TH)
- The Brauer-Ostrowski theorem for matrices of operators
  Herzog, G.; Schmoeger, C.
  2006. Universität Karlsruhe (TH)
- Banach algebra homomorphisms via orthogonal projections
  Schmoeger, C.; Herzog, G.
  2006. Demonstratio mathematica, 39, 137–148
2005
- Second order differential inequalities via aggregation
  Herzog, G.; Lammert, R.
  2005. Universität Karlsruhe (TH)
- Comparison results for generalized Kolmogorov systems with respect to multiplicative semigroups
  Herzog, G.; Lemmert, R.
  2005. Universität Karlsruhe (TH)
- On the functional equation defined by Lie’s product formula
  Schmoeger, C.; Herzog, G.
  2005. Universität Karlsruhe (TH)
- On BVPs in
  Herzog, G.; Lemmert, R.
  2005. Extracta mathematicae, 20, 13–23
- Enclosing solutions of second order equations
  Herzog, G.; Lemmert, R.
  2005. Annales Polonici mathematici, 85, 91–98
- On Green’ s theorem
  Herzog, G.; Lemmert, R.
  2005. Universität Karlsruhe (TH). doi:10.5445/IR/1000003620
- On pointwise one-sided estimates for continuous functions
  Herzog, G.; Lemmert, R.
  2005. Universität Karlsruhe (TH)
- On bounded solutions of second order systems
  Herzog, G.
  2005. Universität Karlsruhe (TH)
- Universality of methods approximating the derivative
  Herzog, G.; Lemmert, R.
  2005. Universität Karlsruhe (TH)
- Majorization of Co-semigroups in ordered Banach spaces
  Herzog, G.; Kunstmann, P. C.
  2005. Universität Karlsruhe (TH)
- Extreme points of certain subsets of hermitian elements in Banach algebras
  Herzog, G.; Schmoeger, C.
  2005. Universität Karlsruhe (TH)
- Weak growth conditions for ODEs in pre-ordered Banach spaces
  Herzog, G.; Lemmert, R.
  2005. Mathematische Annalen, 331 (1), 75–86
2004
- Universal fundamental systems in ordered Banach spaces
  Herzog, G.
  2004. Archiv der Mathematik, 83 (6), 540–547
- One-sided estimates for quasimonotone systems of boundary value problems
  Herzog, G.
  2004. Demonstratio mathematica, 37, 847–856
- A characterization of quasimonotone increasing functions
  Herzog, G.
  2004. Universität Karlsruhe (TH). doi:10.5445/IR/1000003145
- Universal fundamental systems in ordered Banach spaces
  Herzog, G.
  2004. Universität Karlsruhe (TH)
- Enclosing solutions of second order equations
  Herzog, G.; Lemmert, R.
  2004. Universität Karlsruhe (TH)
- On BVPs in l∞ (A)
  Herzog, G.; Lemmert, R.
  2004. Universität Karlsruhe (TH)
- Banach algebra homomorphisms via orthogonal projections
  Herzog, G.; Schmoeger, C.
  2004. Universität Karlsruhe (TH)
- On a theorem of Vesentini
  Herzog, G.; Schmoeger, C.
  2004. Studia mathematica, 162 (2), 183
- Nonautonomous SEIRS and Thron models for epidemiology and cell biology
  Herzog, G.; Redheffer, R.
  2004. Nonlinear analysis / Real world applications, 5 (1), 33–44
- The Dirichlet problem for quasimonotone systems of second order equations
  Herzog, G.
  2004. Rocky Mountain journal of mathematics, 34 (1), 195–204
2003
- Weak growth conditions for ODEs in pre-ordered Banach spaces
  Herzog, G.; Lemmert, R.
  2003. Karlsruhe 2003. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2003,1.)
- Semicontinuous solutions of systems of functional equations
  Herzog, G.
  2003. Annales societatis mathematicae polonae / 1, 43 (2), 207–219
- Positive solutions of systems of boundary value problems
  Herzog, G.; Lemmert, R.
  2003. Extracta mathematicae, 18, 23–32
- On quasimonotone homeomorphisms in ordered Banach spaces
  Herzog, G.
  2003. Demonstratio mathematica, 36, 747–755
- One-sided estimates for quasimonotone increasing functions
  Herzog, G.; Lemmert, R.
  2003. Bulletin of the Australian Mathematical Society, 67 (3), 383–392
- Second-order elliptic differential inequalities in Banach spaces
  Herzog, G.; Lemmert, R.
  2003. Nonlinear analysis, 53 (6), 765–775
- Generalized M-matrices and ordered Banach algebras
  Herzog, G.
  2003. Linear algebra and its applications, 363, 125–131
- Monotonicity of the inverse of weakly elliptic differential operators
  Herzog, G.; Lemmert, R.
  2003. Archiv der Mathematik, 80 (2), 191–200
- Second order differential-functional inequalities for bounded functions
  Herzog, G.
  2003. Positivity, 7, 177–183
- On a theorem of Vesentini
  Schmoeger, C.; Herzog, G.
  2003. Universität Karlsruhe (TH)
- A note on a theorem of Raubenheimer and Rode
  Herzog, G.; Schmoeger, C.
  2003. Proceedings of the American Mathematical Society, 131, 3507–3509
2002
- The Dirichlet problem for quasimonotone systems of second order equations
  Herzog, G.
  2002. Karlsruhe 2002. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2002,10.)
- Semicontinuous solutions of systems of functional equations
  Herzog, G.
  2002. Karlsruhe 2002. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2002,9.)
- On Riccati equations in ordered Banach algebras
  Herzog, G.; Lemmert, R.
  2002. Demonstratio mathematica, 35, 783–790
- Lagrange interpolation for the disk algebra: the worst case
  Herzog, G.
  2002. Journal of approximation theory, 115 (2), 354–358
- Universal elements for families of discontinuous mappings
  Herzog, G.; Lemmert, R.
  2002. Demonstratio mathematica, 35, 199–204
- Universal perturbations of linear differential equations
  Herzog, G.
  2002. Proceedings of the American Mathematical Society, 130 (3), 703–705
- A note on a theorem of Raubenheimer and Rode
  Herzog, G.; Schmoeger, C.
  2002. Karlsruhe 2002. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2002,27.)
- Positive solutions of systems of boundary value problems
  Herzog, G.; Lemmert, R.
  2002. Karlsruhe 2002. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2002,43.)
- One-sided estimates for quasimonotone increasing functions
  Herzog, G.; Lemmert, R.
  2002. Karlsruhe 2002. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2002,37.)
2001
- Bernstein functions and parabolic equations in BUC(IRn, IR)
  Herzog, G.; Lemmert, R.
  2001. Hiroshima mathematical journal, 31, 451–460
- Differential-functional inequalities for bounded vector valued functions
  Herzog, G.
  2001. Zeitschrift für Analysis und ihre Anwendungen, 20, 1055–1063
- Second order differential inequalities in Banach spaces
  Herzog, G.; Lemmert, R.
  2001. Annales Polonici mathematici, 77 (1), 69–78
- On positive solutions of linear second order equations in Banach spaces
  Herzog, G.
  2001. Demonstratio mathematica, 34 (3), 587–591
- Quasimonotonicity
  Herzog, G.
  2001. Nonlinear analysis, 47, 2213–2224
- On omega-limit sets in codimension two subspaces
  Herzog, G.
  2001. Acta scientiarum mathematicarum, 67 (1-2), 197–201
- Stability for families of positive semigroups and partial differential equations via one-sided estimates
  Herzog, G.; Kunstmann, P. C.
  2001. Demonstratio mathematica, 34, 77–82
- On quasimonotone increasing homeomorphisms
  Herzog, G.
  2001. Archiv der Mathematik, 76 (3), 215–221
- Monotonicity of the inverse of weakly elliptic differential operators
  Herzog, G.; Lemmert, R.
  2001. Karlsruhe 2001. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2001,14.)
- Differential inequalities
  Herzog, G.; Lemmert, R.
  2001. Universität Karlsruhe (TH). doi:10.5445/IR/42001
2000
- An existence theorem for systems of boundary value problems
  Herzog, G.; Lemmert, R.
  2000. Proc. of the Amer. Math. Soc. 128 (2000) S. 157-160
- On maximal and minimal solutions for x’(t) = (Integral)(t,x(t),x(h(t))),x(0) = x0
  Herzog, G.; Lemmert, R.
  2000. Roczniki Polskiego Towarzystwa Matematycznego, Ser. 1: Commentationes mathematicae 40 (2000) S. 93-102
- Polynomials solving Dirichlet boundary value problems
  Herzog, G.
  2000. Amer. math. monthly 107 (2000) S. 934-936
- Nonlinear fundamental systems for linear differential equations in Frechet spaces
  Herzog, G.; Lemmert, R.
  2000. Demonstratio mathematica 33 (2000) S. 313-318
- A funnel section property for systems with quasimonotone increasing right hand side
  Herzog, G.
  2000. Glasgow math. j. 42 (2000) S. 239-242
- On the structure of the solution set of u" = (Integral)(t,u), u(0) = u(1) = 0
  Herzog, G.; Lemmert, R.
  2000. Math. Nachr. 215 (2000) S. 103-105
- On nonlinear summability
  Herzog, G.
  2000. Amer. math. monthly 107 (2000) S. 170-171
- On quasimonotone increasing systems of ordinary differential equations
  Herzog, G.
  2000. Portugaliae mathematica 57 (2000) S. 35-43
- On omega-limit sets of autonomous systems in infinite dimensional Banach space
  Herzog, G.
  2000. Karlsruhe 1999. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 1999,18.) und Bull. of the Austral. Math. Soc. 61 (2000) S. 459-462
- A note on discrete heat conduction
  Herzog, G.; Lemmert, R.
  2000. Karlsruhe 1999. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 1999,12.) und Arch. d. Math. 75 (2000) S. 147-152
- On ordered spaces of polynomials
  Herzog, G.; Lemmert, R.
  2000. Karlsruhe 1999. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 1999,11.) und Linear algebra and its appl. 320 (2000) S. 199-203
- On quasimonotone increasing homeomorphisms
  Herzog, G.
  2000. Karlsruhe 1999. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 1999,10.)
1999
- Intermediate value theorems for quasimonotone increasing mappings
  Herzog, G.; Lemmert, R.
  1999. Numerical functional anal. and optimizat. 20 (1999) S. 901-908
- On one-sided estimates for row-finite systems of differential equations
  Herzog, G.
  1999. Math. Bohemica 124 (1999) S. 67-76
- Asymptotisches Verhalten der Maxima der Lösungen gewisser Differentialgleichungen
  Herzog, G.; Redheffer, R. M.
  1999. Arch. d. Math. 72 (1999) S. 132-144
- On row-finite systems of ordinary differential equations in Banach spaces
  Herzog, G.
  1999. Demonstratio math. 31 (1998) S. 835-840
1998
- Existenz- und Eindeutigkeitssätze für gewöhnliche Differentialgleichungen in Banach- und Frecheträumen. Kumulative Habilitationsschrift
  Herzog, G.
  1998. Fak. f. Mathematik, Habil.-Schr. v. 6.5.1998
- On universal subsets of Banach spaces
  Herzog, G.; Lemmert, R.
  1998. Math. Z. 229 (1998) S. 615-619
- One-sided estimates for linear quasimonotone increasing operators
  Herzog, G.
  1998. Numerical functional anal. and optimizat. 19 (1998) S. 549-555
- A fixed point theorem for quasimonotone increasing mappings
  Herzog, G.
  1998. Acta scientiarum mathematicarum 64 (1998) S. 293-297
- C1-solutions of x = f(x’) are convex or concave
  Herzog, G.
  1998. Amer. math. monthly 105 (1998) S. 554-555
- On Lipschitz conditions for ordinary differential equations in Frechet spaces
  Herzog, G.
  1998. Czechoslovak math. j. 48 (1998) S. 95-103
- On quasipositive elements in ordered Banach algebras
  Herzog, G.; Lemmert, R.
  1998. Studia mathematica 129 (1998) S. 59-65
- On ordinary differential equations with quasimonotone increasing right-hand side
  Herzog, G.
  1998. Arch. d. Math. 70 (1998) S. 142-146
- On a theorem of Mierczynski
  Herzog, G.
  1998. Colloq. mathematicum 76 (1998) S. 19-29
- One-sided estimates for ordinary differential equations in Frechet spaces
  Herzog, G.
  1998. Ricerche di mat. 46 (1997) S. 479-487
- An existence and uniqueness theorem for ordinary differential equations in ordered Banach spaces
  Herzog, G.
  1998. Demonstratio mathematica 30 (1997) S. 735-740
1997
- On a universality of the heat equation
  Herzog, G.
  1997. Math. Nachr. 188 (1997) S. 169-171
1996
- On existence and uniqueness conditions for ordinary differential equations in Frechet spaces
  Herzog, G.
  1996. Studia scientiarum mathematicarum Hungarica 32 (1996) S. 367-375
- On linear time-dependent row-finite systems of differential equations
  Herzog, G.
  1996. Travaux math. 8 (1996) S. 167-176
1995
- On ordinary linear differential equations in Csupra(J)
  Herzog, G.
  1995. Demonstratio mathematica 28 (1995) S. 383-398
- On a theorem of Seidel and Walsh
  Herzog, G.
  1995. Periodica mathematica Hungarica 30 (1995) S. 205-210
1994
- On operators T such that f(T) is hypercyclic
  Herzog, G.; Schmoeger, C.
  1994. Studia Mathematica, 108 (3), 209–216
- Remarks on Driver’s equation
  Herzog, G.; Lemmert, R.
  1994. Ann. Polon. math. 59 (1994) S. 197-202
- On infinite systems of linear boundary value problems
  Herzog, G.; Lemmert, R.
  1994. World sci. ser. in appl. anal. 3 (1994) S. 303-308
- On zero-free universal entire functions
  Herzog, G.
  1994. Arch. d. Math. 63 (1994) S. 329-332
1993
- Ordinary differential equations in Frechet spaces
  Herzog, G.; Lemmert, R.
  1993. In: Proceedings. 3rd International Colloquium on Differential Equations, Plovdiv, Bulgaria 1992. 1993. S. 89-93
- Ueber Endomorphismen mit dichten Bahnen
  Herzog, G.; Lemmert, R.
  1993. Math. Z. 213 (1993) S. 473-477
1992
- Ueber gewoehnliche Differentialgleichungen in Frechetraeumen. PhD dissertation
  Herzog, G.
  1992. Fak. f. Mathematik, Diss. v. 12.2.1992., Universität Karlsruhe (TH)
- On linear operators having supercyclic vectors
  Herzog, G.
  1992. Studia math. 103 (1992) S. 295-298
1991
- On universal functions and interpolation
  Herzog, G.
  1991. Analysis 11 (1991) S. 21-26